Geodesic
Hyperbolicity of link complements in Seifert-fibered spaces
Cremaschi, Tommaso1 ; Rodríguez-Migueles, José A2
1USC Dornsife, Department of Mathematics, University of Southern California, Los Angeles, CA, United States
2Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland
Algebraic and Geometric Topology, Tome 20 (2020) no. 7, pp. 3561-3588
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Let γ̄ be a link in a Seifert-fibered space M over a hyperbolic 2–orbifold 𝒪 that projects injectively to a filling multicurve of closed geodesics γ in 𝒪. We prove that the complement Mγ̄ of γ̄ in M admits a hyperbolic structure of finite volume, and we give combinatorial bounds of its volume.

DOI : 10.2140/agt.2020.20.3561
Classification : 57M50
Keywords: low dimensional topology, geometric topology

Cremaschi, Tommaso  1   ; Rodríguez-Migueles, José A  2

1 USC Dornsife, Department of Mathematics, University of Southern California, Los Angeles, CA, United States
2 Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland 
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Cremaschi, Tommaso; Rodríguez-Migueles, José A. Hyperbolicity of link complements in Seifert-fibered spaces. Algebraic and Geometric Topology, Tome 20 (2020) no. 7, pp. 3561-3588. doi: 10.2140/agt.2020.20.3561

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